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Finding the Third Proportional to 54,302 and 119,644

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Solution

The third proportional to 54,302 and 119,644 is: 263,612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,302 : 119,644 = 119,644 : x
  2. Step 2: Convert to fraction form
    54,302/119,644 = 119,644/x
  3. Step 3: Cross multiply
    54,302x = 119,644 × 119,644
  4. Step 4: Simplify right side
    54,302x = 14,314,686,736
  5. Step 5: Solve for x
    x = 14,314,686,736/54,302
  6. Step 6: Final answer
    x = 263,612.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.